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Finding the Fourth Proportional to 288,377.61, 397,959.78 and 159,316.14

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Solution

The fourth proportional to 288,377.61, 397,959.78 and 159,316.14 is: 219,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,377.61 : 397,959.78 = 159,316.14 : x
  2. Step 2: Convert to fraction form
    288,377.61/397,959.78 = 159,316.14/x
  3. Step 3: Cross multiply
    288,377.61x = 397,959.78 × 159,316.14
  4. Step 4: Simplify right side
    288,377.61x = 63,401,416,024.85
  5. Step 5: Solve for x
    x = 63,401,416,024.85/288,377.61
  6. Step 6: Final answer
    x = 219,855.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.